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A Simple Model for Measuring Refractive Index of a Liquid Based upon Fresnel Equations |
ZHANG Zhi-Wei1;WU Zhi-Fang2;WEN Ting-Dun1 |
1Key Laboratory of Instrument Science and Dynamic Measurement (Ministry of Education), North University of China, Taiyuan 0300512No.33 Research Institute, China Electronic Technology Group Corporation, Taiyuan 030006 |
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Cite this article: |
ZHANG Zhi-Wei, WU Zhi-Fang, WEN Ting-Dun 2007 Chin. Phys. Lett. 24 3133-3136 |
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Abstract Due to many experimental data required and a lot of calculations involved, it is very complex and cumbersome to model prism-based liquid-refractive-index-measuring methods. We develop a new method of mathematical modelling for measuring refractive index of a liquid based upon the Fresnel formula and prism internal reflection at an incident angle less than the critical angle. With this method, only two different concentrations measurements for a kind of solution can lead to the determination of computational model. Measurements are performed to examine the validity of the theoretical model. Experimental results indicate the feasibility of the theoretical model with an error of 1%. The method is also capable of measuring even smaller changes in the optical refractive index of the material on a metal surface by the surface plasma resonance sensing techniques.
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Keywords:
42.25.Gy
42.25.-p
78.20.Bh
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Received: 03 August 2007
Published: 23 October 2007
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PACS: |
42.25.Gy
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(Edge and boundary effects; reflection and refraction)
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42.25.-p
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(Wave optics)
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78.20.Bh
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(Theory, models, and numerical simulation)
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